Question 350876: Please help solve by completing the square...
x^2 + 1/2x = 1
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! your equation is:
x^2 + (1/2)*x = 1
the coefficient of the x^2 term is 1.
the coefficient of the x term is (1/2)
take (1/2) of the coefficient of the x term to get (1/4)
square that to get (1/16)
your completing the square factor becomes:
(x + (1/4))^2 = 1 + (1/16)
take the square root of each side of this equation to get:
x + (1/4) = +/- sqrt (17/16)
subtract (1/4) from both sides of this equation to get:
x = -(1/4) +/- sqrt(17/16)
that should be your solution.
if it is, then you can plug those values of x into your original equation and the original equation should be true.
your values of x come out to be:
x = .780776406
x = -1.280776406
your original equation is:
x^2 + (1/2)*x = 1
plugging the first and second values of x respectively into that equation, you get:
1 = 1
1 = 1
this confirms that the solutions are good.
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